73324064 has 72 divisors (see below), whose sum is σ = 164395980. Its totient is φ = 32130560.

The previous prime is 73324061. The next prime is 73324067. The reversal of 73324064 is 46042337.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (73324061) and next prime (73324067).

It can be written as a sum of positive squares in 2 ways, for example, as 72114064 + 1210000 = 8492^2 + 1100^2 .

It is a super-2 number, since 2×73324064² = 10752836722952192, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (73324061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111962 + ... + 112614.

Almost surely, 2^73324064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73324064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82197990).

73324064 is an abundant number, since it is smaller than the sum of its proper divisors (91071916).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73324064 is a wasteful number, since it uses less digits than its factorization.

73324064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 29.

The square root of 73324064 is about 8562.9471562074. The cubic root of 73324064 is about 418.5514420944.

The spelling of 73324064 in words is "seventy-three million, three hundred twenty-four thousand, sixty-four".